Henry decides to start an investment savings account. He initially deposits $500 dollars to the bank. Every year, Henry's bank account increases by 15%. Assume x represents the number of years and y is the amount of money in the bank. Which function models this situation below?

Answer:

2y

Step-by-step explanation:

this is common factor of both the terms

because 2y divides both term

hope it helps

Answer:

(D) 360 m

Step-by-step explanation:

Answer:

322

Step-by-step explanation:

1

+

1

+

300

=322

Answer:

Y=8

Step-by-step explanation:

The maximum area of the rectangular patio is \(190*190 ft^2\)with dimensions of 190 ft by 189.5 ft.

To find the dimensions of the rectangle patio with the maximum area, we can use the formula for the area of a rectangle, A = lw. Since we know that one side of the patio is the house, we can assume that the length (l) is 190 ft. We can then solve for the width (w) using the formula A = 190w. We can rearrange and solve for w by dividing both sides by 190, giving us w = A/190. Since we want to maximize the area, we can choose the largest value for A. Since we have 190 ft of fencing, A = 190*190 = 36100 ft^2. Plugging this value into the equation, we get w = 36100/190 = 189.5 ft. Therefore, the dimensions of the rectangle patio with the maximum area are 190 ft by 189.5 ft.

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According to the question, The annual rate of interest is 5% for the first 5 years and 7% for the last 11 years. the present value of the annuity at time 0 is approximately $802.34.

To calculate the present value (PV) of the annuity, we need to determine the present value of each individual cash flow and sum them up.

For the first 5 years, the effective annual interest rate is 5%. Using the formula for the present value of an annuity:

\(\[ PV = PMT \times \frac{{(1 - (1 + r)^{-n})}}{{r}} \]\)

where PV is the present value, PMT is the annual deposit, r is the interest rate per period, and n is the number of periods.

Plugging in the values:

\(\[ PMT = \$50, \quad r = 5\% = 0.05, \quad n = 5 \text{ years} \]\)

we can calculate:

\(\[ PV_1 = 50 \times \frac{{(1 - (1 + 0.05)^{-5})}}{{0.05}} \]\)

For the next 11 years, the effective annual interest rate is 7%. Using the same formula:

\(\[ PMT = \$50, \quad r = 7\% = 0.07, \quad n = 11 \text{ years} \]\)

we can calculate:

\(\[ PV_2 = 50 \times \frac{{(1 - (1 + 0.07)^{-11})}}{{0.07}} \]\)

To find the total present value, we sum \(\(PV_1\) and \(PV_2\)\):

\(\[ PV = PV_1 + PV_2 \]\)

Calculating the values:

\(\[ PV_1 \approx 50 \times \frac{{(1 - 0.78353)}}{{0.05}} \approx \$432.94 \]\)

\(\[ PV_2 \approx 50 \times \frac{{(1 - 0.51316)}}{{0.07}} \approx \$369.40 \]\)

\(\[ PV \approx 432.94 + 369.40 \approx \$802.34 \]\)

Therefore, the present value of the annuity at time 0 is approximately $802.34."

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Answer:

-7/4 sign will be -

-7/2 sign will be -

11/-4 sign will be -

-0,5/-7 sign will be +

18/37 sign will be +

(-3)*(-5)/2*(-7) sign will be -

(-4)*3/(-7)*(-5) sign will be -

-3*5/4*8 sign will be -

Option (a) 1/50 The average of the 50 samples of x can be calculated as the sum of the values of x divided by the number of samples, which is 50 in this case.

Since x has a mean of 1, we know that the sum of the values of x is 50 times 1, which is 50. The variance of x is 4, which means that the standard deviation of x is 2. This means that the standard error of the mean of x, which is the standard deviation of the sample mean, is 2 divided by the square root of 50, which is approximately 0.283. Therefore, the 95% confidence interval for the mean of the 50 samples of x is [1 - 1.96(0.283), 1 + 1.96(0.283)] = [0.44, 1.56]. Since none of the answer choices fall within this interval, we cannot determine the correct answer without additional information.

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Answer:

parallel is the answer

The graph represents a relation provided  R =  {(5, 1), (1, –2), (0, –1), (–3, 2)}

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have a relation:

R = {(5, 1), (1, –2), (0, –1), (–3, 2)}

We can represent it on a coordinate plane as (x, y)

After plotting on a coordinate plane we will get a graph of a relation

R =  {(5, 1), (1, –2), (0, –1), (–3, 2)}

Thus, the graph represents a relation provided  R =  {(5, 1), (1, –2), (0, –1), (–3, 2)}

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The value of x from the given equation is ±√10

Linear equations are equation that has a leading degree of 1. Given the equation below:

Given the equation below;

x² = 10

Take the square root of both sides

√x² = ±√10

x = ±√10

Hence the value of x from the given equation is ±√10

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p(x) = x³ - x² + x + 1

i ) p(-1) = (-1)³ - ( -1 )² + ( -1 ) + 1

= -1 - 1 - 1 + 1

= -2

ii ) p( 1 ) = 1³ - 1² + 1 + 1

= 1 - 1 + 1 + 1

= 2

Now ,

[ p(-1) + p(1) ]/2

= [ -2 + 2 ]/2

= 0

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Answer:

up

Step-by-step explanation:

You would move it up the y-axis

To find the point on the curve r(t)=(2cost, 2sint, e^t) we need to evaluate the x, y, and z coordinates at a specific value of t. Let's choose t=0 for simplicity.

So, plugging in t=0 we have:

r(0) = (2cos(0), 2sin(0), e^0)
r(0) = (2, 0, 1)

Therefore, the point on the curve at t=0 is (2, 0, 1).

To find the point on the curve r(t) = (2cos(t), 2sin(t), e^t) for a specific value of t, you can plug in the value of t into the parameterized equation:

1. Replace t with the specific value you're interested in (e.g., t = a).
2. Compute 2cos(a) for the x-coordinate.
3. Compute 2sin(a) for the y-coordinate.
4. Compute e^a for the z-coordinate.

The point on the curve will be (2cos(a), 2sin(a), e^a).

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

6 is the answer. Look below for solution.

We know that:

Nearest square number to 42 is 36.

√36 = 6

Hence, 6 is the smallest square number.

\(BrainiacUser1357\)

Answer:

You did not post an image.

Step-by-step explanation:

Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

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Note that sides AD and BE are perpendicular on the same side AC. So the angles CAD and CBE, both are equal to 90 degrees.

Beig the corresponding angles, ADC and BEC are also equal.

And the angle ACD is the common angle in both the triangles.

Therefore by the AAA criteria, the triangles CAD and CBE are similar.

So their corresponding sides must be proportional,

Answer: 18

Step-by-step explanation:

there you go <3

The quadratic equation does not have solutions where both x and y are integers.

Here we have the following quadratic equation:

2x^2 + 5y^2 = 14

We want to check that we can't solve this equation with x and y integers, to see that, we can start by isolating one of the variables:

2x^2 + 5y^2 = 14

5y^2 = 14 - 2x^2

y^2 = (14 - 2x^2)/5

y = ±√((14 - 2x^2)/5)

Now, trivially:

(14 - 2x^2)/5

Is not an integer for any integer value of x, and this happens because 5 is not a factor of 14, thus, for any integer value of x the value of y that we get is non integer, then there aren't two integers that solve the quadratic equation.

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Answer:

Step-by-step explanation:

3x+4+x=16

Combine like terms

(3x+x)+4=16

subtract 4

4x=12

Divide by 4

x=3

Answer:

1.A. 75 m sq

2.D. 67.5 m sq

3.C. 210 m sq

Step-by-step explanation:

no step by step

Step-by-step explanation:

\begin{gathered}6x - 2y = 6 \\ 6x = 6 + 2y \\ x = \frac{6 + 2y}{6} \end{gathered}

6x−2y=6

6x=6+2y

x=

6

6+2y

Answer:

y = -3x+9

Step-by-step explanation:

Parallel lines have the same slope

y = -3x+2  

This is in slope intercept form where y =mx+b where m is the slope

The slope is -3

y = -3x+b

Using the point (2,3)

3 = -3(2)+b

3 = -6+b

Add 6 to each side

3+6 = b

9=b

y = -3x+9

Answer:

slope (m) = -3

3= -3(2)+b

b = 9

y=mx+b → y= -3x+9

OAmalOHopeO

Answer:

21

Step-by-step explanation:

Using alternate interior angles, we can conclude that angle C is equal to X (the 3rd, unmarked angle in the center triangle)

To find that 3rd angle, we can do 180 - 105 - 54. This is because all angles in a triangle must equal 180. Using this, we find that angle C is equal to 21. By the law, X must also equal 21.

Answer:

x is 21

Step-by-step explanation:

add 54 and 105, then subtract it by 180 and you get 21.

The average value of a necklace at Julie's shop is $4.90. For further explanation;-

Julie the jeweler has two gold necklaces worth $105, seven silver necklaces valued at $100, twenty-seven plated necklaces valued at $55, and twenty-two beaded necklaces worth $25. The average value of a necklace at Julie's shop can be calculated by finding the sum of the values of all the necklaces and dividing it by the total number of necklaces.

The total value of all the necklaces is $105 + $100 + $55 + $25 = $285. The total number of necklaces is 2 + 7 + 27 + 22 = 58.

Therefore, the average value of a necklace is $285 / 58 = $4.90. This answer should be rounded to the nearest cent, giving an average value of $4.90 per necklace at Julie's shop.

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Answer:

Each Person:

-In tips: $2

-Food Bill: $7.50

Step-by-step explanation:

Let's find the tip amount for each person. $16 for the whole group. Each person will give in $2 for the tips, for a total of $16 in tips.

Now that tips are done, we must subtract the amount of tips from the food bill, to see how much each person pays. $76 - $16 = $60.

Divide 60 by 8 to get.. 60/8= 7.5.

With 7.5 as an answer, we can conclude that each person paid $7.50 for the food bill.

I see you need to select solutions, may I see them to help you out? The description is pretty vague..

Answer:

c: 24

Step-by-step explanation:

Answer:

C

Step-by-step explanation: